Temat: spectrum problem - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The spectrum problem for digraphs of order 4 and size 5
Autorzy:: Bunge, R. C.
DeShong, S,
El-Zanati, S. I.
Fischer, A.
Roberts, D. P.
Teng, L.
Powiązania:: https://bibliotekanauki.pl/articles/255132.pdf
Data publikacji:: 2018
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: spectrum problem
digraph decompositions
Opis:: The paw graph consists of a triangle with a pendant edge attached to one of the three vertices. We obtain a multigraph by adding exactly one repeated edge to the paw. Now, let D be a directed graph obtained by orientating the edges of that multigraph. For 12 of the 18 possibilities for D, we establish necessary and sufficient conditions on n for the existence of a [formula] design. Partial results are given for the remaining 6 possibilities for D.
Źródło:: Opuscula Mathematica; 2018, 38, 1; 15-30
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Application of Greens operator to quadratic variational problems
Autorzy:: Azbelev, N. V.
Tsalyuk, V. Z.
Powiązania:: https://bibliotekanauki.pl/articles/255629.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: quadratic variational problem
Sobolev space
boundary value problem
Hilbert space
Green's operator
Fredholm integral operator
spectrum
Opis:: We use Green's function of a suitable boundary value problem to convert the variational problem with quadratic functional and linear constraints to the equivalent unconstrained extremal problem in some subspace of the space L2 of quadratically summable functions. We get the neccessary and sufficient criterion for unique solvability of the variational problem in terms of the spectrum of some integral Hilbert-Schmidt operator in L2 with symmetric kernel. The numerical technique is proposed to estimate this criterion. The results are demonstrated on examples: 1) a variational problem with deviating argument, and 2) the problem of the critical force for the vertical pillar with additional support point (the qualities of the pillar may vary discontinuously along the pillar's axis).
Źródło:: Opuscula Mathematica; 2006, 26, 2; 243-256
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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